## Abstract We continue exploring analogues of o‐minimality and weak o‐minimality for circularly ordered sets. The main result is a description of ℵ~0~‐categorical 1‐transitive non‐primitive weakly circularly minimal structures of convexity rank 1 up to binarity (Theorems 4.4 and 4.5). (© 2006 WILE
Definable functions in the ℵ0-categorical weakly circularly minimal structures
✍ Scribed by B. Sh. Kulpeshov
- Book ID
- 106530432
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2009
- Tongue
- English
- Weight
- 255 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0037-4466
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📜 SIMILAR VOLUMES
ℵ 0-categorical o-minimal structures were completely described by Pillay and Steinhorn (Trans. Amer. Math. Soc. 295 (1986) , and are essentially built up from copies of the rationals as an ordered set by 'cutting and copying'. Here we investigate the possible structures which an ℵ 0-categorical weak
## MSC (2010) 03C64, 03C35 Orthogonality of all families of pairwise weakly orthogonal 1-types for ℵ0 -categorical weakly o-minimal theories of finite convexity rank has been proved in [6]. Here we prove orthogonality of all such families for binary 1-types in an arbitrary ℵ0 -categorical weakly o